arXiv Analytics

Sign in

arXiv:math/0405459 [math.NT]AbstractReferencesReviewsResources

On the distribution of imaginary parts of zeros of the Riemann zeta function

Kevin Ford, Alexandru Zaharescu

Published 2004-05-24, updated 2004-09-30Version 2

We investigate the distribution of the fractional parts of ag, where a is a fixed non-zero real number and g runs over the imaginary parts of the non-trivial zeros of the Riemann zeta function. The revision includes several minor corrections.

Comments: 14 pages, 3 figures. To appear in J. reine angew. math
Journal: J. reine angew. Math 579 (2005), 145-158.
Categories: math.NT
Subjects: 11M26, 11K38
Related articles: Most relevant | Search more
arXiv:0805.2745 [math.NT] (Published 2008-05-19, updated 2009-01-10)
On the distribution of imaginary parts of zeros of the Riemann zeta function, II
arXiv:math/0305341 [math.NT] (Published 2003-05-23)
Distribution of the zeros of the Riemann zeta function in longer intervals
arXiv:1301.5663 [math.NT] (Published 2013-01-23, updated 2013-04-16)
The distribution of the variance of primes in arithmetic progressions